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Now showing items 1-10 of 18

#### On weighted q-Daehee polynomials with their applications

(Elsevier B.V., 2019-03)

In this paper, we first consider a generalization of Kim's p-adic q-integral on Z p including parameters α and β. By using this integral, we introduce the q-Daehee polynomials and numbers with weight α,β. Then, we obtain ...

#### Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials

(Natural Sciences Publishing USA, 2018-03-01)

In this paper, we introduce the generating function of Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based ...

#### Some (p, q)-analogues of Apostol type numbers and polynomials

(UNIV TARTU PRESS, 2019-06)

We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several ...

#### Unified (P, q)-analog of apostol type polynomials of order α

(UNIV NIS, 2018)

In this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order a including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order alpha. By making ...

#### A study on a class of q-Euler polynomials under the symmetric group of degree n

(INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)

Motivated by the paper of Kim et al. [T. Kim, D. S. Kim, H. I. Kwon, J. J. Seo, D. V. Dolgy, J. Nonlinear Sci. Appl., 9 (2016), 1077-1082], we study a class of q-Euler polynomials earlier given by Kim et al. in [T. Kim, ...

#### SOME NEW SYMMETRIC IDENTITIES INVOLVING q-GENOCCHI POLYNOMIALS UNDER S-4

(UNIV PRISHTINES, 2015)

In the paper, we derive some new symmetric identities of q-Genocchi polynomials arising from the fermionic p-adic q-integral on Z(p).

#### Hermite based poly-bernoulli polynomials with a g-parameter

(Jangjeon Mathematical Society, 2018)

We introduce the Hermite based poly-Bernoulli polynomials with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations. We ...

#### A STUDY ON SOME NEW RESULTS ARISING FROM (p, q)-CALCULUS

(INST APPLIED MATHEMATICS, 2020)

This paper includes some new investigations and results for post quantum calculus, denoted by (p, q)-calculus. A chain rule for (p, q)-derivative is given. Also, a new (p, q)-analogue of the exponential function is introduced ...

#### Research on Some New Results Arising from Multiple q-Calculus

(UNIV NIS, 2018)

In this paper, we develop the theory of the multiple q-analogue of the Heine's binomial formula, chain rule and Leibniz's rule. We also derive many useful definitions and results involving multiple q-antiderivative and ...

#### On applications of blending generating functions of q-Apostol-type polynomials

(BULGARIAN ACAD SCIENCE, 2019)

Motivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized ...